Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.828°C and 0.913°C. P( – 2.828 < Z < 0.913) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of
0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the
probability of obtaining a reading between -2.828°C and 0.913°C.
P( – 2.828 < Z < 0.913)
Transcribed Image Text:Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.828°C and 0.913°C. P( – 2.828 < Z < 0.913)
Expert Solution
Step 1

Solution:

Let X be the reading at freezing on a bundle of thermometers.

From the given information, X follows normal distribution with mean 0oC and a standard deviation is 1.00oC.

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